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Nice analysis. It was very detailed indeed, not to mention that it was rather insightful. You wrote that Hanyuu had actually rebooted back in time while Rika has not arrived yet. So does that mean the Rika of this time has not lived through Minagoroshi-hen? For me, I just thought that Hanyuu was thinking back about one of the many times they had rebooted instead of physically going back because it seemed like her powers won't allow for going back so much.

No, basically, what I tried to imply is: we don't know if Rika (or rather Frederica?) already rebooted as well, so the Rika we saw in this episode doesn't exactly prove it is the very last one, the "present" from Minagoroshi-hen. That doesn't mean she won't show up, but even after what Rika said, it doesn't prove much that she is the one after minagoroshi, especially if Hanyuu talked to her. So, what i imply is: "consciouness of Rika - Minagoroshi-hen -" wasn't transferred yet.

That said, it is obviously not a simple retelling of the past, since hanyuu proved that she has knowledge of Minagoroshi-hen. (as she finally realized that she has to believe in it as well) and has a direct "interaction" with the past we saw (be it her confrontation with Takano, or her discussion with Rika).
that is still only an observation and deduction from how the loop worked until now.

It is only pure speculation/observation for the moment, as any of the wild guess should be confirmed in episode 19.

Ah...I see. Thanks for the clarification. So the clip of Takano against Hanyuu links to the current reboot? Hmm...I really look forward to seeing how the anime will connect the pieces to Matsuribayashi-hen then. I wonder why Takano was able to see Hanyuu in the first place while she is invisible to everybody else.

So I finally watched the episode. It is again extremely violent (apart from brains splashed on the walls now we have trepanation of the skull without drugs) but the authors still have that wicked sense of humor.

We'll be getting into a tough final round. It's a bit easier than I imagined since they don't have to beat the government per say. Just stop Takano which is a monumental challenge itself. Sort of going from impossible to incredibly difficult. She's got a private army guarding her so lot of problems. At least Rika knows who she is up against and has to plan accordingly.